Universal Schemes for Prediction, Gambling and Portfolio Selection

Elements of Information Theory

2001 • 38,276 citations

Compression of individual sequences via variable-rate coding

1978 • 3,451 citations

A New Interpretation of Information Rate

1956 • 1,535 citations

Arithmetic Coding

1979 • 724 citations

THE COMPLEXITY OF FINITE OBJECTS AND THE DEVELOPMENT OF THE CONCEPTS OF INFORMATION AND RANDOMNESS BY MEANS OF THE THEORY OF ALGORITHMS

1970 • 685 citations

A universal data compression system

1983 • 651 citations

Universal modeling and coding

1981 • 452 citations

Asymptotic Optimality and Asymptotic Equipartition Properties of Log-Optimum Investment

1988 • 359 citations

The Individual Ergodic Theorem of Information Theory

1957 • 276 citations

Source coding algorithms for fast data compression

1976 • 200 citations

A convergent gambling estimate of the entropy of English

1978 • 186 citations

A Sandwich Proof of the Shannon-McMillan-Breiman Theorem

1988 • 177 citations

The frequency goodness of fit test for probability chains

1951 • 161 citations

Competitive Optimality of Logarithmic Investment

1980 • 159 citations

Game-Theoretic Optimal Portfolios

1988 • 98 citations

A note on the Ziv - Lempel model for compressing individual sequences (Corresp.)

1983 • 81 citations

Guessing the next output of a stationary process

1978 • 71 citations

Universal Almost Sure Data Compression

1990 • 67 citations

Gambling using a finite state machine

1991 • 62 citations

Entropy and data compression

1970 • 31 citations